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rewona [7]
3 years ago
10

8. How many days would it take to travel from Washington, D.C.,

Mathematics
1 answer:
adell [148]3 years ago
7 0

Answer:

What are the choices and what grade level going to 4th-12th

Step-by-step explanation:

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The quadratic function h(t)=-16.1t^2 + 150 models a balls height, in feet, over time, in seconds, after it is dropped from a 15
katrin [286]
<h2>Hello!</h2>

The answer is: The first graphic representation.

<h2>Why?</h2>

We are given a quadratic equation, meaning that it could be two possible solutions for the exercise, however, we are talking about time, so we have to consider only the obtained positive values.

Let's make the equation equal to 0 in order to find the values of "t"

h(t)=-16.1t^2 + 150\\0=-16.1t^2 + 150\\16.1t^2=150\\t^2=\frac{150}{16.1}=9.32\\t=+-\sqrt{9.32}=+-3.05\\t1=3.05\\t2=-305

So, discarding the negative value, we can use the possitive value to find the correct graphic representation.

To find the correct graphic representation we must take into consideration the following:

- We must remember that the sign of the coefficient of the quadratic term (t^2) will define if the parabola opens downward or upward.

From the given quadratic (or parabola) equation we have:

a=-1\\b=0\\c=150

So, since the coefficient of the quadratic term is negative, the parabola opens downward.

- Since we are looking for a graphic that represents the change in height over time, we need to look for a graphic that shows only positive values for the x-axis (time)

- We are looking for a parabola which y-axis intercept is equal to 150.

Therefore, the graphic representation of the quadratic function that models a ball's height over time is the first graphic representation.

Have a nice day!

8 0
3 years ago
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What is the length of DE
Valentin [98]

Answer:

5

Step-by-step explanation:

3 0
3 years ago
Select the equation of the line that passes through the .5,7 and is perpendicular to the line x equals 4
lions [1.4K]
Hello!

To be perpendicular to x = 4, the line must be y = something. This eliminates answer choices #2 and #4. Also, to pass through the point (.5, 7), the line must be y = 7.

So answer choice #3.

Hope this helps!! Let me know if you have ANY questions.
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3 years ago
Which geometric figures have a measurable quantity? A. line B. angle C. point D. lin
Jlenok [28]

Answer:

b

Step-by-step explanation:

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Write the ratio of the first measurement to the second measurement. Compare in inches.
GarryVolchara [31]

Answer:

60 in:9 in   20 in:3 in    6.6666667

Step-by-step explanation:

5 ft needs to be in inches, so multiply by 12 (inches per foot) ten you can compare.

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3 years ago
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